Measuring the degree of spatial spreading of a sample can be of great interest when sampling from a spatial population. The commonly used spatial balance index by Grafström et al. (2012) is particularly effective in comparing the level of spatial spreading of different samples from the same population. However, its unbounded and uninterpretable scale of measurement does not allow to assess the level of spatial spreading in absolute terms and confines its use to only raw comparisons. In this paper, we introduce a new absolute measure of the spatial spreading of a sample using a normalized version of Moran’s index. The properties and behaviour of the proposed measure are analysed through two simulation experiments, one based on three artificial populations and the other on a population of real business units located in the province of Siena (Italy). © 2018 Elsevier B.V. All rights reserved.

Measuring the spatial balance of a sample: A new measure based on Moran’s I index / Tillé, Yves; Dickson, Maria Michela; Espa, Giuseppe; Giuliani, Diego. - In: SPATIAL STATISTICS. - ISSN 2211-6753. - 2018, 23:(2018), pp. 182-192. [10.1016/j.spasta.2018.02.001]

Measuring the spatial balance of a sample: A new measure based on Moran’s I index

Maria Michela Dickson;Giuseppe Espa;Diego Giuliani
2018-01-01

Abstract

Measuring the degree of spatial spreading of a sample can be of great interest when sampling from a spatial population. The commonly used spatial balance index by Grafström et al. (2012) is particularly effective in comparing the level of spatial spreading of different samples from the same population. However, its unbounded and uninterpretable scale of measurement does not allow to assess the level of spatial spreading in absolute terms and confines its use to only raw comparisons. In this paper, we introduce a new absolute measure of the spatial spreading of a sample using a normalized version of Moran’s index. The properties and behaviour of the proposed measure are analysed through two simulation experiments, one based on three artificial populations and the other on a population of real business units located in the province of Siena (Italy). © 2018 Elsevier B.V. All rights reserved.
2018
Tillé, Yves; Dickson, Maria Michela; Espa, Giuseppe; Giuliani, Diego
Measuring the spatial balance of a sample: A new measure based on Moran’s I index / Tillé, Yves; Dickson, Maria Michela; Espa, Giuseppe; Giuliani, Diego. - In: SPATIAL STATISTICS. - ISSN 2211-6753. - 2018, 23:(2018), pp. 182-192. [10.1016/j.spasta.2018.02.001]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/198891
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